Finite Group Databasebeta

← #29723744

Subgroups — #29723744

Order 15616.

958 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840106C211yesmaximal, characteristic, complemented
2C2×#16839772C211yesmaximal, characteristic, complemented
3#21449185C211yesmaximal, characteristic
4#21448763C211yesmaximal, characteristic
5#21447359C211yesmaximal, characteristic, complemented
6#21447231C211yesmaximal, characteristic, complemented
7#21447024C211yesmaximal, characteristic, complemented
8#21447018C211yesmaximal, characteristic, complemented
9#21446459C211yesmaximal, characteristic, complemented
10#21446458C211yesmaximal, characteristic, complemented
11#21446130C211yesmaximal, characteristic, complemented
12#21446116C211yesmaximal, characteristic
13#21446016C211yesmaximal, characteristic, complemented
14#21445753C211yesmaximal, characteristic, complemented
15C61×#1809C211yesmaximal, characteristic, complemented
16C23×Dic122C2211yescharacteristic
17C2×#14519757C2211yescharacteristic
18C2×#14519757C2211yescharacteristic
19C2×C4×C22⋊D61C2211yescharacteristic
20C2×#14519736C2211yescharacteristic
21C2×#14519735C2211yescharacteristic
22#16840106—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25#16839772—24no—
26C2×#14519702C2211yescharacteristic
27C2×#14519702C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37#16839683—21no—
38#16839675—21no—
39#16839667C2211yescharacteristic
40#16839667C2211yescharacteristic
41#16839662—21no—
42#16839656—21no—
43#16839651—21no—
44#16839639—21no—
45#16839637—21no—
46#16839631C2211yescharacteristic
47#16839619C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49#16839613—21no—
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C2×#107×C61C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C61×#380C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×Dic122—22no—
62C22×Dic122—22no—
63C22×Dic122—22no—
64C22×Dic122—22no—
65C22×Dic122—21no—
66C22×Dic122—41no—
67C22×Dic122—41no—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2311yescharacteristic
70C22×C22⋊D61D411yescharacteristic
71C23×Dic61—21no—
72C22×C4×D61C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75#14519757—22no—
76#14519757—22no—
77#14519757—41no—
78#14519757—41no—
79C4×C22⋊D61—22no—
80C4×C22⋊D61—22no—
81#14519736—22no—
82#14519736—41no—
83#14519735—22no—
84#14519735—41no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196D411yescharacteristic
92C2×C22⋊Dic61—21no—
93C2×C22⋊Dic61D411yescharacteristic
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198D411yescharacteristic
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61C2311yescharacteristic
103#14519710—22no—
104#14519708—41no—
105#14519702—22no—
106#14519702—22no—
107#14519702—22no—
108#14519702D414yescomplemented
109#14519700—22no—
110#14519700—22no—
111#14519700—41no—
112#14519700—41no—
113C22⋊#92418—22no—
114#14519689—22no—
115#14519689—41no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C23×C4×C61C2311yescharacteristic
123C2×M16×C61—22no—
124C2×M16×C61—22no—
125C2×M16×C61—41no—
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134#107×C61—41no—
135#106×C61—22no—
136#95×C61—21no—
137#95×C61—21no—
138C24×C61C2×D411yescharacteristic
139C23×D61C2×D411yescharacteristic
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61#4112yes—
150C22×C4×C61#4112yes—
151C22×C4×C61C2411yescharacteristic
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—41no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—42no—
160C22×Dic61—42no—
161C22×Dic61—42no—
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×Dic122—28no—
172C2×Dic122—21no—
173C2×Dic122—21no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—44no—
183C2×Dic122—44no—
184C2×Dic122—42no—
185C2×Dic122—42no—
186C2×Dic122—44no—
187C2×Dic122—42no—
188C2×Dic122C2×D412yes—
189C2×Dic122#4112yes—
190M16×C61—44no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61C2×D412yes—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—81no—
207C22⋊Dic61—22no—
208C22⋊Dic61—42no—
209#11758198—22no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213#11758198—81no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—42no—
218C4⋊Dic61—42no—
219C4⋊Dic61C2×D412yes—
220#11758196—22no—
221#11758196—42no—
222#11758196—81no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—42no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61#12312yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61#12312yes—
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C22⋊D61—44no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—22no—
280C2×Dic61—21no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—48no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61#13712yes—
297C4×D61—41no—
298C4×D61—41no—
299C4×D61—41no—
300C4×D61—41no—
301Dic122—22no—
302Dic122—22no—
303Dic122—22no—
304Dic122—22no—
305Dic122—48no—
306Dic122—41no—
307Dic122—41no—
308Dic122—41no—
309Dic122—41no—
310C8×C61—22no—
311C8×C61—41no—
312#92418—41no—
313#92418—41no—
314#24892—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C2×#12311yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61C2×#13711yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C4×C61—22no—
337C4×C61—81no—
338C4×C61—81no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61#52511yescharacteristic
342C4×C61#53811yescharacteristic
343C4×C61#54611yescharacteristic
344C4×C61#55111yescharacteristic
345Dic61—22no—
346Dic61—41no—
347Dic61—42no—
348Dic61—42no—
349Dic61—41no—
350Dic61—42no—
351Dic61—81no—
352C2×#485—611no—
353C2×#419—611no—
354#2409—611no—
355#2354—611no—
356#2096—611no—
357#2072—611no—
358#2036—611no—
359#2035—611no—
360#1928—611no—
361#1928—611no—
362#1873—611no—
363#1870—611no—
364#1854—611no—
365#1809D6111yescharacteristic, complemented
366#1787—611no—
367C2×C61—42no—
368C2×C61#241811yescharacteristic
369C2×C61#309511yescharacteristic
370C2×C61#309711yescharacteristic
371C2×C61#326911yescharacteristic
372C2×C61#327811yescharacteristic
373C2×C61#332111yescharacteristic
374C2×C61#332811yescharacteristic
375D61—81no—
376C23×Q8—611no—
377C22×M16C2×D6111yescharacteristic
378C2×C22⋊Q8—611no—
379C2×C22⋊Q8—611no—
380C2×C4×D4—611no—
381C2×#117—611no—
382C2×#117—611no—
383#485—1224no—
384C2×#107—611no—
385C2×#107C2×D6111yescharacteristic
386C2×#106—611no—
387C2×#106C2×D6111yescharacteristic
388#419—1224no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C22⋊C8—611no—
400#395—1221no—
401#393—1221no—
402#391—611no—
403#391—611no—
404#390—1221no—
405#388—1221no—
406#388—1221no—
407#386—1221no—
408#385—1221no—
409#384—611no—
410#380—611no—
411#380C2×D6111yescharacteristic
412#380C2×D6111yescharacteristic
413C4×C4⋊C4—611no—
414C4×C4⋊C4—1221no—
415#340—611no—
416#340—611no—
417#340C2×D6111yescharacteristic
418#340C2×D6111yescharacteristic
419#336—611no—
420#336—611no—
421C61#2489211yescharacteristic, complemented, Sylow
422C22×Q8—611no—
423C22×Q8—611no—
424C22×Q8—1222no—
425C22×Q8—1222no—
426C22×Q8—1221no—
427C22×Q8—1222no—
428C22×Q8—1222no—
429C22×Q8—2441no—
430C22×Q8—2441no—
431C22×D4—611no—
432C23×C4—611no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435C2×M16—22no—
436C2×M16—22no—
437C2×M16—41no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C22⋊Q8—1222no—
443C22⋊Q8—1222no—
444C22⋊Q8—2441no—
445C22⋊Q8—2441no—
446C4×D4—1222no—
447C4×D4—1222no—
448#117—1222no—
449#117—1222no—
450#117—2441no—
451#117—2441no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C42—611no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42—1221no—
476#107—41no—
477#107—1222no—
478#106—22no—
479#106—2441no—
480#103—614no—
481#103—1222no—
482#103—1222no—
483#103—1222no—
484#103—1222no—
485#103—1222no—
486#103—2441no—
487#103—2441no—
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490C22⋊C8—2441no—
491#95—21no—
492#95—21no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—611no—
500C24D4×D6111yescharacteristic
501C2×Q8—612no—
502C2×Q8—612no—
503C2×Q8—1228no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—2442no—
515C2×Q8—2442no—
516C2×Q8—2444no—
517C2×Q8—2444no—
518C2×Q8—2444no—
519C2×Q8—2442no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—2441no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4#1175822212yes—
548C22×C4D4×D6111yescharacteristic
549C22×C4#1175822612yes—
550C22×C4C23×D6111yescharacteristic
551M16—44no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8D4×D6112yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—612no—
573C4⋊C4—1221no—
574C4⋊C4—1222no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—4881no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C4⋊C4—2442no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—4881no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C42—1221no—
591C42—1221no—
592C42—2442no—
593C42—2442no—
594C42—2442no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23#1451976212yes—
609C23C2×D4×D6111yescharacteristic
610Q8—1222no—
611Q8—1222no—
612Q8—1222no—
613Q8—1222no—
614Q8—2448no—
615Q8—2441no—
616Q8—2441no—
617Q8—2441no—
618Q8—2441no—
619D4—2444no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—612no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1222no—
646C2×C4—1221no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1221no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2448no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4#1451976212yes—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4#41×D6111yescharacteristic
667C2×C4C2×#1175822211yescharacteristic
668C2×C4C2×#1175822611yescharacteristic
669C2×C4#1451982211yescharacteristic
670C2×C4#1451982311yescharacteristic
671C8—22no—
672C8—41no—
673C8—2441no—
674C8—2441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—2441no—
683C22—2441no—
684C22—2441no—
685C22—2441no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22C2×#1451976211yescharacteristic
690C22#1684039611yescharacteristic
691C22#1684040111yescharacteristic
692C22#137×D6111yescharacteristic
693C22#1684055811yescharacteristic
694C22#1684057211yescharacteristic
695C22#1684057811yescharacteristic
696C4—22no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—1222no—
702C4—4881no—
703C4—2441no—
704C4—2442no—
705C4—2442no—
706C4—2441no—
707C4—2442no—
708C4#1684027511yescharacteristic
709C4#1684035211yescharacteristic
710C4#1684040211yescharacteristic
711C4#1684043611yescharacteristic
712C2—42no—
713C2—4881no—
714C2#2144928711yescharacteristic
715C2#2145576911yescharacteristic
716C2#2145579011yescharacteristic
717C2#2145738111yescharacteristic
718C2#2145748211yescharacteristic
719C2#2145800011yescharacteristic
720C2#2145809711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1809C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
hypercenter#1809D61
hypocenterC61#24892
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#16840106C2semidirect
2. C2×#16839772C2semidirect
5. #21447359C2semidirect
6. #21447231C2semidirect
7. #21447024C2semidirect
8. #21447018C2semidirect
9. #21446459C2semidirect
10. #21446458C2semidirect
11. #21446130C2semidirect
13. #21446016C2semidirect
14. #21445753C2semidirect
15. C61×#1809C2semidirect
108. #14519702D4semidirect
365. #1809D61semidirect
421. C61#24892semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168401062
C2×#168397722
#214491852
#214487632
#214473592
#214472312
#214470242
#214470182
#214464592
#214464582
#214461302
#214461162
#214460162
#214457532
C61×#18092
#2489261